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Finding the Fourth Proportional to 2,969.96, 4,454.85 and 1,722.41

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Solution

The fourth proportional to 2,969.96, 4,454.85 and 1,722.41 is: 2,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.96 : 4,454.85 = 1,722.41 : x
  2. Step 2: Convert to fraction form
    2,969.96/4,454.85 = 1,722.41/x
  3. Step 3: Cross multiply
    2,969.96x = 4,454.85 × 1,722.41
  4. Step 4: Simplify right side
    2,969.96x = 7,673,055.91
  5. Step 5: Solve for x
    x = 7,673,055.91/2,969.96
  6. Step 6: Final answer
    x = 2,583.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.